SABA claims that about 85 percent of students of East Brunswick High Schools (EBHS) experience difficulty with socializing and getting a sense of belonging. YASI wants to test this claim, so she randomly samples 60 students and finds that 45 have experienced difficulty. Test SABA’s claim at the 95% level of confidence. A. Yes. SABA’s claim is valid.
B. No. SABA’s claim is not valid.
C. Both a and b are correct, depending on the total number of students of EBHS.
D. None of the above.

B. No. SABA’s claim is not valid.

Step-by-step explanation:

We have to perform a hypothesis test on proportions.

The null and alternative hypothesis are:

The level of significance is .

The sample proportion is

The standard deviation is:

Then, we can calculate the z-statistic as:

The P-value for a two-tails test and z=-2.17 is P=0.03.

The P-value is smaller than the significance level, so the effect is significant.

The null hypothesis is rejected.

The SABA's claim of p=0.85 is not valid.

49%

step-by-step explanation:

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